40204732320 has 480 divisors, whose sum is σ = 153196686720. Its totient is φ = 9899366400.

The previous prime is 40204732313. The next prime is 40204732327. The reversal of 40204732320 is 2323740204.

It is an interprime number because it is at equal distance from previous prime (40204732313) and next prime (40204732327).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40204732327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8641995 + ... + 8646645.

It is an arithmetic number, because the mean of its divisors is an integer number (319159764).

Almost surely, 2^40204732320 is an apocalyptic number.

40204732320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76598343360).

40204732320 is an abundant number, since it is smaller than the sum of its proper divisors (112991954400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40204732320 is a wasteful number, since it uses less digits than its factorization.

40204732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 40204732320 in words is "forty billion, two hundred four million, seven hundred thirty-two thousand, three hundred twenty".